# A note on the existence of solution for semilinear heat equations with polynomial growth nonlinearity

Commentationes Mathematicae Universitatis Carolinae (1993)

- Volume: 34, Issue: 3, page 425-431
- ISSN: 0010-2628

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topKim, Wan Se. "A note on the existence of solution for semilinear heat equations with polynomial growth nonlinearity." Commentationes Mathematicae Universitatis Carolinae 34.3 (1993): 425-431. <http://eudml.org/doc/247492>.

@article{Kim1993,

abstract = {The existence of weak solution for periodic-Dirichlet problem to semilinear heat equations with superlinear growth non-linear term is treated.},

author = {Kim, Wan Se},

journal = {Commentationes Mathematicae Universitatis Carolinae},

keywords = {periodic-Dirichlet problem; semilinear heat equation; superlinear growth; existence of weak solution; periodic-Dirichlet problem; semilinear heat equations; superlinear growth},

language = {eng},

number = {3},

pages = {425-431},

publisher = {Charles University in Prague, Faculty of Mathematics and Physics},

title = {A note on the existence of solution for semilinear heat equations with polynomial growth nonlinearity},

url = {http://eudml.org/doc/247492},

volume = {34},

year = {1993},

}

TY - JOUR

AU - Kim, Wan Se

TI - A note on the existence of solution for semilinear heat equations with polynomial growth nonlinearity

JO - Commentationes Mathematicae Universitatis Carolinae

PY - 1993

PB - Charles University in Prague, Faculty of Mathematics and Physics

VL - 34

IS - 3

SP - 425

EP - 431

AB - The existence of weak solution for periodic-Dirichlet problem to semilinear heat equations with superlinear growth non-linear term is treated.

LA - eng

KW - periodic-Dirichlet problem; semilinear heat equation; superlinear growth; existence of weak solution; periodic-Dirichlet problem; semilinear heat equations; superlinear growth

UR - http://eudml.org/doc/247492

ER -

## References

top- Brezis H., Nirenberg L., Characterization of the range of some nonlinear operators and application to boundary value problem, Ann. Scuola Norm Pisa (4) 5 (1978), 225-326. (1978) MR0513090
- Fučík S., Solvability of Nonlinear Equations and Boundary Value Problems, Pediel, Dordrecht, 1980. MR0620638
- Nkashama M.N., Willem M., Periodic solutions of the boundary value problem for the nonlinear heat equation, Bull. Austral. Math. Soc. 29 (1984), 99-110. (1984) Zbl0555.35062MR0753565
- Sanchez L., A note on periodic solutions of heat equation with a superlinear term, Nonlinear Functional Anal. and its Appl., S.P. Singh (ed.), D. Reidel Publ. Co., 1986. Zbl0611.35046MR0852596
- Šťastnová, Fučík S., Note to periodic solvability of the boundary value problem for nonlinear heat equation, Comment. Math. Univ. Carolinae 18 (1977), 735-740. (1977) MR0499739
- Vejvoda O. and al., Partial Differential Equations, Time Periodic Solutions, Sijthoff Noordhoff, 1981.

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